Skip to main content

MCDM with Applications in Economics and Finance

  • Chapter
Soft Computing in Economics and Finance

Part of the book series: Intelligent Systems Reference Library ((ISRL,volume 6))

Abstract

In this chapter, the problems typical for multiple criteria decision making (MCDM) are analyzed and new solutions of them are proposed as well. The problem of appropriate common scale for representation of objective and subjective criteria is solved using the simple subsethood measure based on the α-cut representation of fuzzy values. To develop an appropriate method for aggregation of aggregating modes, we use the synthesis of the tools of type 2 and level 2 fuzzy sets. As the result, the final assessments of compared alternatives are presented in the form of fuzzy valued membership function defined on the support composed of considered alternatives. To compare obtained fuzzy assessments we use the probabilistic approach to fuzzy values comparison. In is shown that investment evaluation problem is frequently a hierarchical one and a new method for solving such problems, different from commonly used fuzzy analytic hierarchy process (AHP) method, is proposed. The developed methods are used for the solution of the stock ranking problem based on the multiple criterion decision making and optimization in the fuzzy setting and for multiple criteria fuzzy evaluation and optimization in budgeting.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Abd El-Wahed, W.F., Lee, S.M.: Interactive fuzzy goal programming for multi-objective transportation problems. Omega 34, 158–166 (2006)

    Google Scholar 

  2. Ali, M.M., Torn, A.: Population set-based global algorithms: some modifications and numerical studies. Computers and Operations Research 31, 1703–1725 (2004)

    MATH  MathSciNet  Google Scholar 

  3. Anderson, J.A.: Screening for investment gold. Black Enterprise 29, 93–97 (1998)

    Google Scholar 

  4. Babusiaux, D., Pierru, A.: Capital budgeting, project valuation and financing mix: Methodological proposals. Europian Journal of Operational Research 135, 326–337 (2001)

    MATH  MathSciNet  Google Scholar 

  5. Bana, E., Costa, C.A. (eds.): Reading in multiple criteria decision aid. Springer, Berlin (1990)

    Google Scholar 

  6. Bana, E., Costa, C.A., Stewart, T.J., Vansnick, J.-C.: Multicriteria decision analysis: Some thoughts based on the tutorial and discussion session of the ESIGMA meetings. European Jurnal of Operational Research 99, 28–37 (1997)

    MATH  Google Scholar 

  7. Belletante, B., Arnaud, H.: Choisir ses investissements. Paris Chotard et Associes Editeurs (1989)

    Google Scholar 

  8. Beynon, M., Curry, B., Morgan, P.: The Dempster-Shafer theory of evidence: an alternative approach to multicriteria decision modeling. Omega 28, 37–50 (2000)

    Google Scholar 

  9. Beynon, M., Peel, M.J., Tang, Y.-C.: The application of fuzzy decision tree analysis in an exposition of the antecedents of audit fees. Omega 32, 231–244 (2004)

    Google Scholar 

  10. Biswas, A., Pal, B.B.: Application of fuzzy goal programming technique to land use planning in agricultural system. Omega 33, 391–398 (2005)

    Google Scholar 

  11. Bogle, H.F., Jehenck, G.K.: Investment Analysis: US Oil and Gas Producers Score High in University Survey. In: Proc. of Hydrocarbon Economics and Evaluation Symposium, Dallas, pp. 234–241 (1985)

    Google Scholar 

  12. Bollinger, D., Pictet, J.: Multiple criteria decision analysis of treatment and land-filling technologies for waste incineration residues. Omega 36, 418–428 (2008)

    Google Scholar 

  13. Borisov, A.N., Korneeva, G.V.: Linguistic approach to decision making model building under uncertainty. Methods of decision making under uncertainty, 4–6 (1980) (in Russian)

    Google Scholar 

  14. Brigham, E.F.: Fundamentals of Financial Management. The Dryden Press, New York (1992)

    Google Scholar 

  15. Buckley, J.J.: The fuzzy mathematics of finance. Fuzzy Sets and Systems 21, 257–273 (1987)

    MATH  MathSciNet  Google Scholar 

  16. Chakraborty, M., Chandra, M.K.: Multicriteria decision making for optimal blending for beneficiation of coal: a fuzzy programming approach. Omega 33, 413–418 (2005)

    Google Scholar 

  17. Chan, F.T.S., Kumar, N.: Global supplier development considering risk factors using fuzzy extended AHP-based approach. Omega 35, 417–431 (2007)

    Google Scholar 

  18. Chanas, S., Delgado, M., Verdegay, J.L., Vila, M.A.: Ranking fuzzy interval numbers in the setting of random sets. Information Sciences 69, 201–217 (1993)

    MATH  MathSciNet  Google Scholar 

  19. Chang, P.-T., Lee, E.S.: The Estimation of Normalized Fuzzy Weights. Computers and Mathematics with Applications 29, 21–42 (1995)

    MATH  MathSciNet  Google Scholar 

  20. Chansa-ngavej, C., Mount-Campbell, C.A.: Decision criteria in capital budgeting under uncertainties: implications for future research. Int. J. Prod. Economics 23, 25–35 (1991)

    Google Scholar 

  21. Chen, C.T.: Extensions of the TOPSIS for group decision-making under fuzzy environment. Fuzzy Sets and Systems 114, 1–9 (2000)

    MATH  Google Scholar 

  22. Chen, C.T.: A fuzzy approach to select the location of the distribution center. Fuzzy Sets and Systems 118, 65–73 (2001)

    MATH  MathSciNet  Google Scholar 

  23. Chen, S.: An empirical examination of capital budgeting techniques: impact of investment types and firm characteristics. Eng. Economist. 40, 145–170 (1995)

    Google Scholar 

  24. Chen, Y., Kilgour, D.M., Hipel, K.W.: A case-based distance method for screening in multiple-criteria decision aid. Omega 36, 373–383 (2008)

    Google Scholar 

  25. Chen, C., Klein, C.M.: An efficient approach to solving fuzzy MADM problems. Fuzzy Sets and Systems 88, 51–67 (1997)

    MathSciNet  Google Scholar 

  26. Chiou, H.-K., Tzeng, G.-H., Cheng, D.-C.: Evaluating sustainable fishing development strategies using fuzzy MCDM approach. Omega 33, 223–234 (2005)

    Google Scholar 

  27. Chiu, C.Y., Park, C.S.: Fuzzy cash flow analysis using present worth criterion. Eng. Economist. 39, 113–138 (1994)

    Google Scholar 

  28. Chiu, C.Y., Park, C.S.: Fuzzy cash flow analysis using present worth criterion. Eng. Economist. 39, 113–138 (1994)

    Google Scholar 

  29. Choi, D.Y., Oh, K.W.: Asa and its application to multi-criteria decision making. Fuzzy Sets and Systems 114, 89–102 (2000)

    MATH  Google Scholar 

  30. Choo, E.U., Schoner, B., Wedley, W.C.: Interpretation of criteria weights in multicriteria decision making. Computers and Industrial Engineering 37, 527–541 (1999)

    Google Scholar 

  31. Choobineh, F., Behrens, A.: Use of intervals and possibility distributions in economic analysis. J. Oper. Res. Soc. 43, 907–918 (1992)

    MATH  Google Scholar 

  32. Chu, A., Kalaba, R., Springarn, R.: A Comparison of Two Methods for Determining the weights of Belonging to Fuzzy Sets. Journal of Optimization theory and applications 27, 531–538 (1979)

    MATH  MathSciNet  Google Scholar 

  33. Delgado, M., Verdegay, J.L., Vila, M.A.: Linguistic decision making models. Internat. J. Intell. Systems 7, 479–492 (1992)

    MATH  Google Scholar 

  34. Demirtas, E.A., Üstün, Ö.: An integrated multiobjective decision making process for supplier selection and order allocation. Omega 36, 76–90 (2008)

    Google Scholar 

  35. Dimova, L., Sevastianov, D., Sevastianov, P.: Application of fuzzy sets theory, methods for the evaluation of investment efficiency parameters. Fuzzy Economic Review 5, 34–48 (2000)

    Google Scholar 

  36. Dimova, L., Sevastianov, P., Sevastianov, D.: MCDM in a fuzzy setting: investment projects assessment application. International Journal of Production Economics 100(2006), 10–29 (2006)

    Google Scholar 

  37. Doumpos, M., Kosmidou, K., Baourakis, G., Zopounidis, C.: Credit risk assessment using a multicriteria hierarchical discrimination approach: A comparative analysis. European Journal of Operational Research 1389, 392–412 (2002)

    MathSciNet  Google Scholar 

  38. Dropsy, V.: Do macroeconomic factors help in predicting international equity risk premia? Journal of Applied Business Research 3, 120–132 (1996)

    Google Scholar 

  39. Dubois, D., Koenig, J.L.: Social choice axioms for fuzzy set aggregation. Fuzzy Sets and Systems 43, 257–274 (1991)

    MATH  MathSciNet  Google Scholar 

  40. Dyckhoff, H.: Basic concepts for theory of evaluation: hierarchical aggregation via autodistributive connectives in fuzzy set theory. European J. Operation Research 20, 221–233 (1985)

    MATH  MathSciNet  Google Scholar 

  41. Dymova, L.: A constructive approach to managing fuzzy subsets of type 2 in decision making. TASK Quarterly 7, 157–164 (2003)

    Google Scholar 

  42. Dymova, L., Rog, P., Sewastianow, P.: Hyperfuzzy estimations of financial parameters. In: Proceeding of the 2th International Conference on Mathematical Methods in Finance and Econometrics, pp. 78–84 (2002)

    Google Scholar 

  43. Freedman, J.D.: Behind the smoke and mirrors: gauging the integrity of investment simulations. Financial Analysts Journal 6, 26–31 (1992)

    Google Scholar 

  44. Gold, S.C., Lebowitz, P.: Computerized stock screening rules for portfolio selection. Financial Services Review 8, 61–70 (1999)

    Google Scholar 

  45. Gomes, C.F.S., Nunes, K.R.A., Xavier, L.H., Cardoso, R., Valle, R.: Multicriteria decision making applied to waste recycling in Brazil. Omega 36, 395–404 (2008)

    Google Scholar 

  46. Gottwald, S.: Set theory for fuzzy sets of higher level. Fuzzy Sets and Systems 2, 125–151 (1979)

    MATH  MathSciNet  Google Scholar 

  47. Hauke, W.: Using Yager’s t-norms for aggregation of fuzzy intervals. Fuzzy Sets and Systems 101, 59–65 (1999)

    MATH  MathSciNet  Google Scholar 

  48. Helmer, O.H.: The Delphi Method for Systematizing Judgments about the Future, Institute of Government and Public Aairs, University of California (1966)

    Google Scholar 

  49. Herrera, F., Herrera-Vieda, E., Verdegay, J.L.: Direct approach processes in group decision making using linguistic OWA operators. Fuzzy Sets and Systems 79, 175–190 (1996)

    MATH  MathSciNet  Google Scholar 

  50. Huang, C.-C., Chu, P.-Y., Chiang, Y.-H.: A fuzzy AHP application in government-sponsored R&D project selection. Omega 36, 1038–1052 (2008)

    Google Scholar 

  51. Investopedia, http://www.investopedia.com/terms/o/outstandingshares.asp

  52. Investorwords, http://www.investorwords.com/4316/ROI.html

  53. Jaulin, L., Kieffir, M., Didrit, O., Walter, E.: Applied Interval Analysis. Springer, London (2001)

    MATH  Google Scholar 

  54. Kahraman, C.: Fuzzy versus probabilistic benefit/cost ratio analisis for public work projects. Int. J. Appl. Math. Comp. Sci. 11, 705–718 (2001)

    MATH  MathSciNet  Google Scholar 

  55. Kahraman, C., Ruan, D., Tolga, E.: Capital budgeting techniques using discounted fuzzy versus probabilistic cash flows. Information Sciences 142, 57–76 (2002)

    MATH  Google Scholar 

  56. Kahraman, C., Tolga, E., Ulukan, Z.: Justification of manufacturing technologies using fuzzy benefit/cost ratio analysis. Int. J. Product Econom. 66, 45–52 (2000)

    Google Scholar 

  57. Kahraman, C., Ulukan, Z.: Continuous compounding in capital budgeting using fuzzy concept. In: Proc. of the 6th IEEE International Conference on Fuzzy Systems, pp. 1451–1455 (1997)

    Google Scholar 

  58. Kahraman, C., Ulukan, Z.: Fuzzy cash flows under inflation. In: Proc. of the Seventh International Fuzzy Systems Association World Congress (IFSA 1997), vol. 4, pp. 104–108 (1997)

    Google Scholar 

  59. Karnik, N.N., Mendel, J.M.: Application of Type-2 Fuzzy Logic Systems to Forecasting of Time-Series. Information Sciences 120, 89–111 (1999)

    MATH  Google Scholar 

  60. Kaufmann, A., Gupta, M.: Introduction to fuzzy-arithmetic theory and applications. Van Nostrand Reinhold, New York (1985)

    MATH  Google Scholar 

  61. Kiang, M.Y., Chi, R., Tam, K.Y.: DKAS: a distributed knowledge acquisition system in a DSS. Journal of Management Information Systems 4, 59–82 (1993)

    Google Scholar 

  62. Kosko, B.: Fuzzy entropy and conditioning. Information Science 30, 165–174 (1986)

    MathSciNet  Google Scholar 

  63. Krishnapuram, R., Keller, J.M., Ma, Y.: Quantitative analysis of properties and spatial relations of fuzzy image regions. IEEE Trans. Fuzzy Systems 1, 222–233 (1993)

    Google Scholar 

  64. Kryzanowski, L., Galler, M., Wright, D.: Using artificial neural network to pick stocks. Financial Analysts Journal 1, 21–27 (1993)

    Google Scholar 

  65. Kuchta, D.: Fuzzy capital budgeting. Fuzzy Sets and Systems 111, 367–385 (2000)

    MATH  Google Scholar 

  66. Kundu, S.: Min-transitivity of fuzzy leftness relationship and its application to decision making. Fuzzy Sets and Systems 86, 357–367 (1997)

    MATH  MathSciNet  Google Scholar 

  67. Kundu, S.: Preference relation on fuzzy utilities based on fuzzy leftness relation on interval. Fuzzy Sets and Systems 97, 183–191 (1998)

    MathSciNet  Google Scholar 

  68. Lam, M.: Neural network techniques for financial performance prediction: integrating fundamental and technical analysis. Decision Support Systems 37, 567–581 (2004)

    Google Scholar 

  69. Lee, H.: Group decision making using fuzzy sets theory for evaluating the rate of aggregative risk in software development. Fuzzy Sets and Systems 80, 261–271 (1996)

    Google Scholar 

  70. Leigh, W., Purvis, R., Ragusa, J.M.: Forecasting the NYSE composite index with technical analysis, pattern recognizer, neural network, and genetic algorithm: a case study in romantic decision support. Decision Support Systems 32, 361–377 (2002)

    Google Scholar 

  71. Li Calzi, M.: Towards a general setting for the fuzzy mathematics of finance. Fuzzy Sets and Systems 35, 265–280 (1990)

    MATH  MathSciNet  Google Scholar 

  72. Li, Q., Sterali, H.D.: An approach for analyzing foreign direct investment projects with application to China’s Tumen River Area development. Computers & Operations Research 3, 1467–1485 (2003)

    Google Scholar 

  73. Liang, P., Song, F.: Computer-aided risk evaluation system for capital investment. Omega 22, 391–400 (1994)

    Google Scholar 

  74. Lin, F.C., Lin, M.: Analysis of financial data using neural nets. AI Expert 2, 36–41 (1993)

    Google Scholar 

  75. Liu, D., Stewart, T.J.: Object-oriented decision support system modeling for multicriteria decision making in natural resource managment. Computers and Operations Research 31, 985–999 (2004)

    MATH  Google Scholar 

  76. Longerstaey, J., Spenser, M.: RiskMetric-Technical document. RiskMetric Group, J.P. Morgan, New York (1996)

    Google Scholar 

  77. Lootsma, F.A.: Performance evaluation of non-linear optimization methods via multi-criteria decision analysis and via linear model analysis. In: Powell, M.J.D. (ed.) Nonlinear Optimization, pp. 419–453 (1981)

    Google Scholar 

  78. Lopes, M.D.S., Flavel, R.: Project appraisal-a framework to assess non-financial aspects of projects during the project life cycle. International Journal of Project Management 16, 223–233 (1998)

    Google Scholar 

  79. Masaharu, M., Kokichi, T.: Fuzzy sets of type II under algebraic product and algebraic sum. Fuzzy Sets and Systems 5, 277–290 (1981)

    MATH  MathSciNet  Google Scholar 

  80. McIvor, R.T., McCloskey, A.G., Humphreys, P.K., Maguire, L.P.: Using a fuzzy approach to support financial analysis in the corporate acquisition process. Expert Systems with Applications 27, 533–547 (2004)

    Google Scholar 

  81. Migdalas, A., Pardalos, P.M.: Editorial: hierarchical and bilevel programming. J. Global Optimization 8, 209–215 (1996)

    MathSciNet  Google Scholar 

  82. Mikhailov, L.: Fuzzy analytical approach to partnership selection information of virtual enterprises. Omega 30, 393–401 (2002)

    Google Scholar 

  83. Mikhailov, L.: Deriving priorities from fuzzy pairwise comparison judgments. Fuzzy Sets and Systems 134, 365–385 (2003)

    MATH  MathSciNet  Google Scholar 

  84. Miller, G.A.: The magical number seven plus or minus two: some limits on our capacity for processing information. Psychological Review 63, 81–97 (1956)

    Google Scholar 

  85. Milner, P.M.: Physiological psychology. Holt, New York (1970)

    Google Scholar 

  86. Mitra, G.: Mathematical Models for Decision Support. Springer, Berlin (1988)

    MATH  Google Scholar 

  87. Mohamed, S., McCowan, A.K.: Modelling project investment decisions under uncertainty using possibility theory. International Journal of Project Management 19, 231–241 (2001)

    Google Scholar 

  88. Moore, R.E.: Interval analysis. Prentice-Hall, Englewood Cliffs (1966)

    MATH  Google Scholar 

  89. Nakamura, K.: Preference relations on set of fuzzy utilities as a basis for decision making. Fuzzy Sets and Systems 20, 147–162 (1986)

    MATH  MathSciNet  Google Scholar 

  90. Nedosekin, A., Kokosh, A.: Investment risk estimation for arbitrary fuzzy factors of investment project. In: Proc. of Int. Conf. on Fuzzy Sets and Soft Computing in Economics and Finance, St. Petersburg, pp. 423–437 (2004)

    Google Scholar 

  91. Pardalos, P.M., Siskos, Y., Zopounidis, C.: Advances in multicriteria analysis. Kluwer Academic Publishers, Dordrecht (1995)

    MATH  Google Scholar 

  92. Peneva, V., Popchev, I.: Properties of the aggregation operators related with fuzzy relations. Fuzzy Sets and Systems 139, 615–633 (2003)

    MATH  MathSciNet  Google Scholar 

  93. Perrone, G.: Fuzzy multiple criteria decision model for the evaluation of AMS. Comput. Integrated Manufacturing Systems 7, 228–239 (1994)

    Google Scholar 

  94. Racine, J.: On the nonlinear predictability of stock returns using financial and economic variables. Journal of Business and Economic Statistics 19, 380–382 (2001)

    MathSciNet  Google Scholar 

  95. Reilly, F.K., Brown, K.C.: Investment Analysis and Portfolio Management. South-Western College Pub. (2002)

    Google Scholar 

  96. Reinganum, M.R.: The anatomy of a stock market winner. Financial Analysts Journal 1, 16–28 (1988)

    Google Scholar 

  97. Ribeiro, R.A.: Fuzzy multiple attribute decision making: a review and new preference elicitation techniques. Fuzzy Sets and Systems 78, 155–181 (1996)

    MATH  MathSciNet  Google Scholar 

  98. Roubens, M.: Fuzzy sets and decision analysis. Fuzzy Sets and Systems 90, 199–206 (1997)

    MATH  MathSciNet  Google Scholar 

  99. Roy, B.: Methodologie Multicriterie d’Aide a la Decision (1985); Economica, Paris, English edn. Multicriteria Methodology for Decision Aiding. Kluwer Academic Publlishers, Boston (1996)

    Google Scholar 

  100. Saaty, T.: A scaling method for priorities in hierarchical structures. Journal of Mathematical Psychology 15, 234–281 (1977)

    MATH  MathSciNet  Google Scholar 

  101. Saaty, T.: Mathematical Methods of Operations Research. Dover Pub., New York (2004)

    Google Scholar 

  102. Schwager, J.D.: The New Market Wizards: Conversations with America’s Top Traders. John Wiley and Sons, NY (1995)

    Google Scholar 

  103. Sengupta, A., Pal, T.K.: On comparing interval numbers. European Journal of Operational Research 127, 28–43 (2000)

    MATH  MathSciNet  Google Scholar 

  104. Shih, H.S., Lee, E.S.: Compensatory fuzzy multiple level decision making. Fuzzy Sets and Systems 114, 71–87 (2000)

    MATH  Google Scholar 

  105. Chen, S.-M.: A new method for tool steel materials selection under fuzzy environment. Fuzzy sets and systems 92, 265–274 (1997)

    Google Scholar 

  106. Sevastianov, P., Dimova, L., Zhestkova, E.: Methodology of the multicriteria quality estimation and its software realizing. In: Proc. of the Fourth International Conference on New Information Technologies NITe’, vol. 1, pp. 50–54 (2000)

    Google Scholar 

  107. Sewastianow, P., Jonczyk, M.: Bicriterial fuzzy selection. Operations research and decisions 4, 149–165 (2003)

    MathSciNet  Google Scholar 

  108. Sevastjanov, P., Figat, P.: Aggregation of aggregating modes in MCDM, Synthesis of Type 2 and Level 2 fuzzy sets. Omega 35, 505–523 (2007)

    Google Scholar 

  109. Sewastianow, P., Rog, P.: A probabilistic approach to fuzzy and interval ordering. Task Quarterly, Special Issue Artificial and Computational Intelligence 7, 147–156 (2002)

    Google Scholar 

  110. Sewastianow, P., Rog, P.: Fuzzy modeling of manufacturing and logistic systems. Mathematics and Computers in Simulation 63, 569–585 (2003)

    MathSciNet  Google Scholar 

  111. Sewastianow, P., Rog, P.: Two-objective method for crisp and fuzzy interval comparison in Optimization. Computers & Operations Research 33, 115–131 (2006)

    Google Scholar 

  112. Sewastianow, P., Rog, P., Venberg, A.: The Constructive Numerical Method of Interval Comparison. In: Wyrzykowski, R., Dongarra, J., Paprzycki, M., Waśniewski, J. (eds.) PPAM 2001. LNCS, vol. 2328, pp. 756–761. Springer, Heidelberg (2002)

    Google Scholar 

  113. Sevastianov, P., Sevastianov, D.: Risk and capital budgeting parameters evaluation from the fuzzy sets theory position. Reliable software 1, 10–19 (1997)

    Google Scholar 

  114. Sevastianov, P., Tumanov, N.: Multi-criteria identification and optimization of technological processes. Science and Engineering (1990) (in Russian)

    Google Scholar 

  115. Silva, C.G., Figueira, J., Lisboa, J., Barman, S.: An interactive decision support system for an aggregate production planning model based on multiple criteria mixed integer linear programming. Omega 34, 167–177 (2006)

    Google Scholar 

  116. Silvert, W.: Ecological impact classification with fuzzy sets. Ecological Moddeling (1997)

    Google Scholar 

  117. Steuer, R.E.: Multiple criteria optimisation: theory, computation and application. Wiley, New York (1986)

    MATH  Google Scholar 

  118. Steuer, R.E., Na, P.: Multiple criteria decision making combined with finance. A categorical bibliographic study. European Jurnal of Operational Research 150, 496–515 (2003)

    MATH  Google Scholar 

  119. Stewart, T.J.: A critical survey on the status of multiple criteria decision making. OriON 5, 1–23 (1989)

    Google Scholar 

  120. Sugeno, M.: Industrial applications of fuzzy control. Elsevier Science Publishing Company, Amsterdam (1985)

    Google Scholar 

  121. Sugeno, M., Kang, G.T.: Structure identification of fuzzy model. Fuzzy Sets and Systems 28, 15–33 (1988)

    MATH  MathSciNet  Google Scholar 

  122. Sugeno, M., Yasukawa, T.: A fuzzy-logic-based approach to qualitative modelling. IEEE Transactions on Fuzzy Systems 1, 7–31 (1993)

    Google Scholar 

  123. Tiryaki, F., Ahlatcioglu, M.: Fuzzy stock selection using a new fuzzy ranking and weighting algorithm. Applied Mathematics and Computation 170, 144–157 (2005)

    MATH  MathSciNet  Google Scholar 

  124. Thomsett, M.C.: Mastering Technical Analysis. A Kaplan Professional, Chicago (1999)

    Google Scholar 

  125. Tong, M., Bonissone, P.P.: A linguistic approach to decision making with fuzzy sets. IEEE Trans. Systems Man Cybernet. 10, 716–723 (1980)

    MathSciNet  Google Scholar 

  126. Torn, A., Zilinskas, A.: Global optimization. Springer, Berlin (1989)

    Google Scholar 

  127. Tre, G., Caluwe, R.: Level-2 fuzzy sets and their usefulness in object-oriented database modeling. Fuzzy Sets and Systems 140, 29–49 (2003)

    MATH  MathSciNet  Google Scholar 

  128. Valls, A., Torra, V.: Using classification as an aggregation tool in MCDM. Fuzzy Sets and Systems 115, 159–168 (2000)

    Google Scholar 

  129. Wadman, D., Schneider, M., Schnaider, E.: The use of interval mathematics in fuzzy expert system. International Journal of Intelligent Systems 9, 241–259 (1994)

    Google Scholar 

  130. Wagenknecht, M., Hartmann, K.: On fuzzy rank ordering in polyoptimisation. Fuzzy Sets and Systems 11, 253–264 (1983)

    MATH  MathSciNet  Google Scholar 

  131. Walczak, S.: An empirical analysis of data requirements for financial forecasting with neural networks. Journal of Management Information Systems 17, 203–222 (2001)

    Google Scholar 

  132. Wang, J., Hwang, W.-L.: A fuzzy set approach for R&D portfolio selection using a real options valuation model. Omega 35, 247–257 (2007)

    Google Scholar 

  133. Wang, X., Kerre, E.E.: Reasonable properties for the ordering of fuzzy quantities (I) (II). Fuzzy Sets and Systems 112, 375–385, 387–405 (2001)

    MathSciNet  Google Scholar 

  134. Wanga, M.-J., Chang, T.-C.: Tool steel materials selection under fuzzy environment. Fuzzy Sets and Systems 72, 263–270 (1995)

    Google Scholar 

  135. Ward, T.L.: Discounted fuzzy cash flow analysis. In: Proceeding of the 1985 Fall Industrial Engineering Conference, pp. 476–481 (1985)

    Google Scholar 

  136. Weck, M., Klocke, F., Schell, H., Rüenauver, E.: Evaluating alternative production cycles using the extended fuzzy AHP method. European Journal of Operational Research 100, 351–366 (1997)

    MATH  Google Scholar 

  137. Yager, R.: On the measure of fuzziness and negation. Part 1. Membership in the Unit. Interval Int. J. Gen. Syst. 5, 221–229 (1979)

    MATH  MathSciNet  Google Scholar 

  138. Yager, R.: Multiple objective decision-making using fuzzy sets. International Journal of Man-Machine Studies 9, 375–382 (1979)

    Google Scholar 

  139. Yager, R.R.: A foundation for a theory of possibility. Journal of Cybernetics 10, 177–209 (1980)

    MATH  MathSciNet  Google Scholar 

  140. Yager, R.R.: Fuzzy subsets of type II in decisions. Journal of Cybernetics 10, 137–159 (1980)

    MathSciNet  Google Scholar 

  141. Yager, R.R.: On ordered weighted averaging aggregation operators in multicriteria decision making. IEEE Trans. Systems Man and Cybern. 18, 183–190 (1988)

    MATH  MathSciNet  Google Scholar 

  142. Yager, R.R., Detyniecki, M., Bouchon-Meunier, B.: A context-dependent method for ordering fuzzy numbers using probabilities. Information Sciences 138, 237–255 (2001)

    MATH  MathSciNet  Google Scholar 

  143. Zadeh, L.A.: Fuzzy sets. Inf. Control 8, 338–353 (1965)

    MATH  MathSciNet  Google Scholar 

  144. Zadeh, L.A.: Quantitative fuzzy semantics. Information Sciences 3, 177–200 (1971)

    MATH  MathSciNet  Google Scholar 

  145. Zadeh, L.A.: Fuzzy logic and its application to approximate reasoning. Information Processing 74, 591–594 (1974)

    MathSciNet  Google Scholar 

  146. Zadeh, L.A.: The Concept of linguistic Variable and its Application to approximate Reasoning- I. Information Sciences 8, 199–249 (1975)

    MathSciNet  Google Scholar 

  147. Zimmerman, H.J.: Fuzzy Sets, Decision-Making and Expert Systems. Kluwer Academic Publishers, Dordrecht (1987)

    Google Scholar 

  148. Zimmermann, H.J., Zysno, P.: Latest connectives in human decision making. Fuzzy Sets and Systems 4, 37–51 (1980)

    MATH  Google Scholar 

  149. Zimmermann, H.J., Zysno, P.: Decision and evaluations by hierarchical aggregation of information. Fuzzy Sets and Systems 104, 243–260 (1983)

    Google Scholar 

  150. Zollo, G., Iandoli, L., Cannavacciuolo, A.: The performance requirements analysis with fuzzy logic. Fuzzy Economic Review 4, 35–69 (1999)

    Google Scholar 

Download references

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Dymowa, L. (2011). MCDM with Applications in Economics and Finance. In: Soft Computing in Economics and Finance. Intelligent Systems Reference Library, vol 6. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17719-4_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-17719-4_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-17718-7

  • Online ISBN: 978-3-642-17719-4

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics